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Finding the Fourth Proportional to 8,296.20, 12,447.90 and 3,911.40

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Solution

The fourth proportional to 8,296.20, 12,447.90 and 3,911.40 is: 5,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.20 : 12,447.90 = 3,911.40 : x
  2. Step 2: Convert to fraction form
    8,296.20/12,447.90 = 3,911.40/x
  3. Step 3: Cross multiply
    8,296.20x = 12,447.90 × 3,911.40
  4. Step 4: Simplify right side
    8,296.20x = 48,688,716.06
  5. Step 5: Solve for x
    x = 48,688,716.06/8,296.20
  6. Step 6: Final answer
    x = 5,868.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.